...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Computational Physics >A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures
【24h】

A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures

机译：一种嵌套杂交的不连续的Galerkin方法，用于计算三维金属纳米结构中的二次谐波产生

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We develop a nested hybridizable discontinuous Galerkin (HDG) method to numerically solve the Maxwell's equations coupled with a hydrodynamic model for the conduction-band electrons in metals. The HDG method leverages static condensation to eliminate the degrees of freedom of the approximate solution defined in the elements, yielding a linear system in terms of the degrees of freedom of the approximate trace defined on the element boundaries. This article presents a computational method that relies on a degree-of-freedom reordering such that the HDG linear system accommodates an additional static condensation step to eliminate a large portion of the degrees of freedom of the approximate trace, thereby yielding a much smaller linear system. For the particular metallic structures considered in this article, the resulting linear system obtained by means of nested static condensations is a block tridiagonal system, which can be solved efficiently. We apply the nested HDG method to compute second harmonic generation on a triangular coaxial periodic nanogap structure. This nonlinear optics phenomenon features rapid field variations and extreme boundary-layer structures that span a wide range of length scales. Numerical results show that the ability to identify structures which exhibit resonances at omega and 2 omega is essential to excite the second harmonic response. (C) 2020 Elsevier Inc. All rights reserved.
机译：我们发展了一种嵌套的杂交间断伽辽金（HDG）方法来数值求解麦克斯韦方程组和金属中导带电子的流体动力学模型。HDG方法利用静态压缩消除元素中定义的近似解的自由度，根据元素边界上定义的近似轨迹的自由度生成线性系统。本文介绍了一种依赖于自由度重新排序的计算方法，使得HDG线性系统适应额外的静态压缩步骤，以消除近似轨迹的大部分自由度，从而产生更小的线性系统。对于本文考虑的特殊金属结构，通过嵌套静态凝聚得到的线性系统是块三对角系统，可以有效地求解。我们应用嵌套HDG方法计算了三角形同轴周期性纳米带隙结构的二次谐波。这种非线性光学现象的特点是场的快速变化和跨越广泛长度尺度的极端边界层结构。数值结果表明，识别在ω和2ω处出现共振的结构的能力对于激发二次谐波响应至关重要。（C） 2020爱思唯尔公司版权所有。

著录项

相似文献

  • 外文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号